Question

test the claim about the population mean μ at the level of significance α. assume the population is normally distributed.
claim: μ < 5215; α = 0.10 sample statistics: x̄ = 5317, s = 5949, n = 54
what are the null and alternative hypotheses?
h₀:
hₐ:
(type integers or decimals. do not round.)

Explanation:

Step1: Define null hypothesis

The null hypothesis \(H_0\) is a statement of equality. Since the claim is \(\mu < 5215\), the null hypothesis is \(H_0:\mu\geq5215\)

Step2: Define alternative hypothesis

The alternative hypothesis \(H_a\) is the claim we are testing. So \(H_a:\mu < 5215\)

Answer:

\(H_0:\mu\geq5215\)

\(H_a:\mu < 5215\)